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View History Bookmarks Window Help 4:) 92%) Thu 8:58 PM webwork2.uncc.edu KMAA MATHEDMATICAL ASSCIATION OF AMERICA Logged in as svanhor4, MATHEMATICAL ASSOCIATION OF AMERICA webwork/ fal 2015-stat 1222-091/ practice exam 3/10 Practice Exam 3: Problem 10 Previous Problem List Next Attempt Results Entered Answer Preview Result 0.5397 0.5397 incorrect The answer above is NOT correct (1 point) Physicians at a clinic gave what they thought were drugs to 830 asthma, ulcer. later learned that the drugs were really placebos, 54 % of the patients reported an improved at a clinic gave what they thought were drugs to 830 asthma, ulcer, and herpes patients. Although the doctors condition. Assume that if the placebo is ineffective, the probablity of a patients condition improving is O.51. For the hypotheses against that it is 0.51, find the p-value. bility of a patients condition improving is 0.51. For the hypotheses that the proportion of improving is 0.51 Preview My Answers Submit Answers Your score was recorded. You have attempted this problem 7 times. You received a score of 0% for this attempt. Your overall recorded score is 096

Solution

Formulating the null and alternatuve hypotheses,          
          
Ho:   p   <=   0.51
Ha:   p   >   0.51
As we see, the hypothesized po =   0.51      
Getting the point estimate of p, p^,          
          
p^ = x / n =    0.54      
          
Getting the standard error of p^, sp,          
          
sp = sqrt[po (1 - po)/n] =    0.017351782      
          
Getting the z statistic,          
          
z = (p^ - po)/sp =    1.728929055      
          
As this is a    1   tailed test, then, getting the p value,  
          
p =    0.041910897   [ANSWER]

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If you round off z to 2 decimal places, you can use z = 1.73, therefore,

P = 0.0418 [ANSWER]